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Alex787 [66]
4 years ago
5

Solve for m16 - 18m = -19m

Mathematics
1 answer:
belka [17]4 years ago
3 0
You want to get m by itself and the easiest way to do that is to add 18 to both sides, so you’re left with 16=-1m. Then you divide 16 and -1m, and your answer should be m=-16
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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f
weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

S = -2.7t^2+40t+6.5

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0

It is a quadratic equation. Its solution is given by :

t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0
3 years ago
Which choice is a graph of the solution set for 12 - X &lt; 8?<br> Pleaseeeee helpppppp NUMBER 14
yarga [219]

Answer:

B

Hope this helps!

explanation:

we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.

7 0
3 years ago
9•(-5)<br><br> A. -45<br> B. -95<br> C. 4<br> D. 45
alexgriva [62]

Answer:

A. -45

Step-by-step explanation:

multiplying a positive an a negative number gives out a negative result

so when we multiple 9 with -5 the result is -45

3 0
3 years ago
Read 2 more answers
Find the diameter of a circle with an area of<br>95.03 square feet.<br>​
ra1l [238]

For this case we have that the area of a circle is given by:

A = \pi * r ^ 2

Where:

r: It is the radius of the circle

By clearing the radio we have:

r = \pm \sqrt {\frac {A} {\pi}}

We take the positive value:

r = \sqrt {\frac {A} {\pi}}\\r = \sqrt {\frac {95.03} {\pi}}\\r = 5.50 \ ft

The diameter is twice the radius:

d = 11

Answer:

11 \ ft

7 0
4 years ago
Read 2 more answers
a data set has a mean of 68 and standard deviation of 6. An element in this set is 51. What is z-score for 51? Round your answer
gogolik [260]

z = -2.83

<u>Explanation:</u>

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}

Substituting the value we get:

z = \frac{51-68}{6} \\\\z = -2.83

A negative z score says that the data point is below average.

4 0
4 years ago
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